24142770000 has 150 divisors (see below), whose sum is σ = 84431068722. Its totient is φ = 6438048000.

The previous prime is 24142769971. The next prime is 24142770007. The reversal of 24142770000 is 7724142.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 13635699984 + 10507070016 = 116772^2 + 102504^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24142770007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44127 + ... + 224126.

Almost surely, 2^24142770000 is an apocalyptic number.

24142770000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24142770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42215534361).

24142770000 is an abundant number, since it is smaller than the sum of its proper divisors (60288298722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24142770000 is a wasteful number, since it uses less digits than its factorization.

24142770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268287 (or 268263 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 24142770000 in words is "twenty-four billion, one hundred forty-two million, seven hundred seventy thousand".